Finite Group Databasebeta

← #14416850

Subgroups — #14416850

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#1200C211yesmaximal, characteristic, complemented
2C2×#91522C211yesmaximal, characteristic
3#11753400C211yesmaximal, characteristic
4#11750903C211yesmaximal, characteristic, complemented
5C5×#4789C211yesmaximal, characteristic, complemented
6C3×#65077C211yesmaximal, characteristic, complemented
7Dic5×#216C211yesmaximal, characteristic, complemented
8#11749234C211yesmaximal, characteristic, complemented
9#11748142C211yesmaximal, characteristic
10#11747834C211yesmaximal, characteristic, complemented
11#11747742C211yesmaximal, characteristic, complemented
12#11747592C211yesmaximal, characteristic, complemented
13#11747459C211yesmaximal, characteristic, complemented
14#11747276C211yesmaximal, characteristic, complemented
15#11747268C211yesmaximal, characteristic, complemented
16#10611560—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×#6766C2211yescharacteristic
19C2×#6705C2211yescharacteristic
20#91781C2211yescharacteristic
21C5×Q8×Dic3C2211yescharacteristic
22C2×C5×#216C2211yescharacteristic
23C5×#887C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C2×C3×#688C2211yescharacteristic
26C3×#4039C2211yescharacteristic
27#91522C418yescomplemented
28#91444—21no—
29#91437—21no—
30#91437C2211yescharacteristic
31Dic3×D20C2211yescharacteristic
32C4×#1200—21no—
33C4×#1200C2211yescharacteristic
34#91395—21no—
35#91394—21no—
36C4×D5×Dic3—21no—
37#91340—21no—
38#91340C2211yescharacteristic
39#91333—21no—
40#91333C2211yescharacteristic
41Dic5×Dic6C2211yescharacteristic
42C2×#6663C2211yescharacteristic
43C2×#6657C2211yescharacteristic
44C2×#6651C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91119C2211yescharacteristic
47#91100C2211yescharacteristic
48#91094C2211yescharacteristic
49C5×#816C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C3×#3953C2211yescharacteristic
53C3×C8×Dic5C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90990C2211yescharacteristic
56#90988C2211yescharacteristic
57#90972C2211yescharacteristic
58#90964C2211yescharacteristic
59#90953C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61C4×#915—51nomaximal, Hall
62C2×#4064—31no—
63C4×#713—31no—
64C4×Q8×D5—31no—
65C5×#441—31no—
66Q16×Dic5—31no—
67#65319—31no—
68#65315—31no—
69#65150—31no—
70#65141—31no—
71#65092—31no—
72#65091—31no—
73#65079—31no—
74#65077D311yescharacteristic, complemented
75#64999—31no—
76#64996—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78Q8×D15—22no—
79Q8×D15C2×C414yescomplemented
80C2×C4×D15—21no—
81C2×C4×D15C2311yescharacteristic
82C2×Dic30—21no—
83C2×Dic30C2311yescharacteristic
84C2×C5×Dic6C2311yescharacteristic
85C2×C3×D20C2311yescharacteristic
86C2×C3×C4×D5—21no—
87C2×#1202—21no—
88C2×#1200—21no—
89C2×#1200D411yescharacteristic
90C2×#1200D411yescharacteristic
91C2×D5×Dic3—21no—
92C2×D5×Dic3—21no—
93#6766—22no—
94#6766C2×C414yes—
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6714—21no—
98C4⋊Dic15C2311yescharacteristic
99C4×Dic15—21no—
100C2×C3⋊#168C2311yescharacteristic
101#6705—22no—
102C5×#216C2×C414yescomplemented
103C5×C4⋊Dic3—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C4×C5×Dic3—21no—
107C4×C5×Dic3—21no—
108C4×C5×Dic3C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×#688C2×C414yescomplemented
111C3×#685—21no—
112C3×C4⋊Dic5—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4×Dic5—21no—
115C3×C4×Dic5C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117Dic3⋊Dic5—21no—
118#6669—21no—
119#6669—21no—
120#6669—21no—
121#6665—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6663C2×C414yescomplemented
128#6657C2×C414yescomplemented
129#6651C2×C414yescomplemented
130C2×#915—51no—
131C4×D3×Q8—51no—
132C4×#237—51no—
133C3×C4×SD16—51no—
134#5164—51no—
135C4×#216—51no—
136C4×#214—51no—
137#4861—51no—
138#4853—51no—
139#4802—51no—
140#4789D511yescharacteristic, complemented
141#4771—51no—
142#4757—51no—
143C4×Dic12—51no—
144C4×ΓL(1,𝔽25)—51no—
145C2×#713—31no—
146C2×Q8×D5—31no—
147C2×C5×Q16—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150Q8×Dic5—31no—
151Q8×Dic5C2×D311yescharacteristic
152C2×#689—31no—
153C2×#688C2×D311yescharacteristic
154#4064—38no—
155C2×#677—31no—
156C2×#676—31no—
157C2×#676—31no—
158#4039—61no—
159#4039C2×D311yescharacteristic
160#4038—31no—
161#4038—61no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—61no—
164#4033—31no—
165#4033—61no—
166C4×D20—31no—
167C4×D20—61no—
168C42×D5—31no—
169C42×D5—61no—
170C42×D5—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#103C2×D311yescharacteristic
176C5×#97—31no—
177#3967—31no—
178#3967—31no—
179#3953C2×D311yescharacteristic
180#3950—31no—
181#3948—31no—
182C8×Dic5—31no—
183C8×Dic5C2×D311yescharacteristic
184#3942—31no—
185#3941—31no—
186#3940C2×D311yescharacteristic
187#3939—31no—
188#3935—31no—
189C4×#137—151noSylow
190C22×D15C2×D411yescharacteristic
191C22×C3×D5—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15—21no—
199C2×Dic15C2×D411yescharacteristic
200C4×D15—24no—
201C4×D15C22×C412yes—
202C4×D15#4112yes—
203Dic30—21no—
204Dic30—24no—
205Dic30C22×C412yes—
206C2×C5×Dic3—21no—
207C2×C5×Dic3—21no—
208C2×C5×Dic3C2×D411yescharacteristic
209C2×C5×Dic3C2×D411yescharacteristic
210C5×Dic6—21no—
211C5×Dic6C22×C412yes—
212C2×C3×Dic5—21no—
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C3×D20—21no—
216C3×D20C22×C412yes—
217C3×C4×D5—42no—
218#1202—24no—
219#1200—22no—
220#1200—41no—
221#1200—42no—
222D5×Dic3—24no—
223D5×Dic3—42no—
224C3×C5×C8—21no—
225C3⋊#168—21no—
226C3×#168C22×C412yes—
227C5×C3⋊C8C22×C412yes—
228C2×D3×Q8—51no—
229C2×#237—51no—
230C2×C3×SD16—51no—
231C3×C4×Q8—51no—
232C3×C4×D4—51no—
233Q8×Dic3C2×D511yescharacteristic
234C2×#216C2×D511yescharacteristic
235D4×Dic3—51no—
236C2×#214—51no—
237C4×#67—101no—
238C2×C4×Dic3—101no—
239#915—58no—
240C2×Dic12—51no—
241C2×ΓL(1,𝔽25)—51no—
242C2×ΓL(1,𝔽25)—51no—
243#892—51no—
244D3×C4⋊C4—51no—
245D3×C4⋊C4—101no—
246#887—51no—
247#887—101no—
248#887C2×D511yescharacteristic
249#67⋊C4—101no—
250#877—101no—
251C42×D3—51no—
252C42×D3—101no—
253C4×Dic6—51no—
254C4×Dic6—51no—
255C4×Dic6—101no—
256C3×#106—51no—
257C3×#103C2×D511yescharacteristic
258C3×#102—51no—
259C3×C4×C8—51no—
260#835—51no—
261#832—51no—
262#818—51no—
263#816—51no—
264#816C2×D511yescharacteristic
265#815—51no—
266#815C2×D511yescharacteristic
267#810—51no—
268#810—51no—
269#808C2×D511yescharacteristic
270#807—51no—
271C4×C3⋊C8—51no—
272C2×C5×Q8—31no—
273C2×C5×Q8C22×D311yescharacteristic
274#713—34no—
275#713—62no—
276Q8×D5—34no—
277Q8×D5—62no—
278C2×D20—61no—
279C2×D20C22×D311yescharacteristic
280C2×C4×D5—21no—
281C2×C4×D5—31no—
282C2×C4×D5—31no—
283C2×C4×D5—31no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×Q16—34no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4—61no—
296C5×C4⋊C4C22×D311yescharacteristic
297C42×C5—31no—
298C42×C5—61no—
299C42×C5—61no—
300#689—34no—
301#688C4×D314yescomplemented
302#685—21no—
303#685—61no—
304#685—61no—
305C4⋊Dic5—21no—
306C4⋊Dic5—31no—
307C4⋊Dic5—61no—
308C4⋊Dic5C22×D311yescharacteristic
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5C22×D311yescharacteristic
320C2×#168—31no—
321C2×#168C22×D311yescharacteristic
322#677—34no—
323#676—34no—
324#676—62no—
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—31no—
329#441—151no—
330#440—151no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—51no—
335C4×SD16—151no—
336#428—151no—
337#419—151no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5C22×D411yescharacteristic
341C2×D15—21no—
342C2×D15—21no—
343C2×D15C4×D412yes—
344C2×C3×D5—22no—
345C2×C3×D5—41no—
346C2×C3×D5—41no—
347C3×C4×C5—22no—
348C3×C4×C5—41no—
349C3×C4×C5C23×C411yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—22no—
352Dic15—41no—
353Dic15C4×D412yes—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C3×Dic5#13712yescomplemented
357C5×Dic3—22no—
358C5×Dic3—21no—
359C5×Dic3—21no—
360C5×Dic3—41no—
361C2×C3×Q8C22×D511yescharacteristic
362C2×C3×D4—51no—
363C22×C3×C4—101no—
364C2×#67—101no—
365C22×Dic3—101no—
366C22×Dic3—101no—
367D3×Q8—54no—
368D3×Q8—102no—
369#237—54no—
370#237—102no—
371C2×C4×D3—51no—
372C2×C4×D3—51no—
373C2×C4×D3—51no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×Dic6—51no—
377C2×Dic6—101no—
378C2×Dic6C22×D511yescharacteristic
379C3×SD16—54no—
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—101no—
384C3×C4⋊C4C22×D511yescharacteristic
385C3×C22⋊C4—101no—
386C3×C42—51no—
387C3×C42—101no—
388#217—101no—
389#216C4×D514yescomplemented
390#214—54no—
391(C2×D3)⋊C4—101no—
392C4⋊Dic3—21no—
393C4⋊Dic3—51no—
394C4⋊Dic3C22×D511yescharacteristic
395Dic3⋊C4—21no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400C4×Dic3—21no—
401C4×Dic3—21no—
402C4×Dic3—51no—
403C4×Dic3—51no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3C22×D511yescharacteristic
409C2×C3⋊C8—51no—
410C2×C3⋊C8C22×D511yescharacteristic
411Dic12—54no—
412ΓL(1,𝔽25)—54no—
413ΓL(1,𝔽25)—102no—
414C22×D5—21no—
415C22×D5—31no—
416C5×Q8—21no—
417C5×Q8—32no—
418C5×Q8—61no—
419C5×Q8C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—61no—
425C2×C4×C5—61no—
426C2×C4×C5C23×D311yescharacteristic
427C2×Dic5—21no—
428C2×Dic5—31no—
429C2×Dic5—61no—
430C2×Dic5—61no—
431C2×Dic5D3×D411yescharacteristic
432C2×Dic5D3×D411yescharacteristic
433D20—21no—
434D20—64no—
435D20C2×C4×D312yes—
436C4×D5—32no—
437C4×D5—32no—
438C4×D5—42no—
439C4×D5—64no—
440C4×D5—64no—
441C4×D5—62no—
442C4×D5—121no—
443C4×D5—122no—
444C4×D5—122no—
445Dic10—32no—
446Dic10—64no—
447Dic10—61no—
448C5×C8—21no—
449C5×C8—32no—
450#168—61no—
451#168C2×C4×D312yes—
452C2×#41—151no—
453C22×Q8—151no—
454#137—158no—
455C2×Q16—31no—
456C2×Q16—151no—
457C2×SD16—51no—
458C2×SD16—151no—
459C2×M16—151no—
460C2×M16—151no—
461C4×Q8—31no—
462C4×Q8—31no—
463C4×Q8—51no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—301no—
468C4×Q8—301no—
469C4×D4—51no—
470C4×D4—151no—
471C4×D4—301no—
472C4×D4—301no—
473#117—151no—
474#117—301no—
475C2×C4⋊C4—151no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—151no—
481#107—151no—
482#106—31no—
483#106—51no—
484#103—31no—
485#103—151no—
486#103—151no—
487#103—151no—
488#103—151no—
489#103D3×D511yescharacteristic
490#102—51no—
491#102—151no—
492#97—31no—
493#97—151no—
494C4×C8—51no—
495C4×C8—151no—
496C2×C3×C5C2×C4×D411yescharacteristic
497C2×C3×C5C2×#13711yescharacteristic
498C2×C3×C5#57511yescharacteristic
499D15—22no—
500C3×D5—42no—
501C23×C3—101no—
502C22×D3—51no—
503C3×Q8—21no—
504C3×Q8C2×C4×D512yes—
505C3×D4—52no—
506C3×D4—101no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—101no—
512C2×C3×C4—202no—
513C2×C3×C4C23×D511yescharacteristic
514#67—104no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—51no—
518C2×Dic3—104no—
519C2×Dic3—101no—
520C2×Dic3—101no—
521C2×Dic3—202no—
522C2×Dic3D4×D511yescharacteristic
523C2×Dic3D4×D511yescharacteristic
524C4×D3—52no—
525C4×D3—52no—
526C4×D3—102no—
527C4×D3—104no—
528C4×D3—201no—
529C4×D3—202no—
530Dic6—21no—
531Dic6—52no—
532Dic6—104no—
533Dic6—101no—
534Dic6C2×C4×D512yes—
535C3×C8—21no—
536C3×C8—52no—
537C3⋊C8—101no—
538C3⋊C8C2×C4×D512yes—
539C22×C5C2×D3×D411yescharacteristic
540C2×D5—22no—
541C2×D5—32no—
542C2×D5—41no—
543C2×D5—41no—
544C2×D5—61no—
545C2×D5—61no—
546C4×C5—22no—
547C4×C5—41no—
548C4×C5—61no—
549C4×C5—61no—
550C4×C5—62no—
551C4×C5—121no—
552C4×C5C22×C4×D311yescharacteristic
553C4×C5D3×#4111yescharacteristic
554Dic5—21no—
555Dic5—32no—
556Dic5—41no—
557Dic5—62no—
558Dic5—121no—
559Dic5#91512yescomplemented
560#41—154no—
561#41—302no—
562C2×Q8—31no—
563C2×Q8—154no—
564C2×Q8—151no—
565C2×Q8—301no—
566C2×Q8—302no—
567C2×Q8C2×D3×D511yescharacteristic
568C2×D4—51no—
569C2×D4—301no—
570C22×C4—101no—
571C22×C4—151no—
572C22×C4—151no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—34no—
579Q16—154no—
580SD16—54no—
581SD16—154no—
582M16—154no—
583M16—302no—
584C2×C8—31no—
585C2×C8—51no—
586C2×C8—151no—
587C2×C8C2×D3×D511yescharacteristic
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—101no—
593C4⋊C4—151no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—101no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—31no—
603C42—51no—
604C42—61no—
605C42—61no—
606C42—101no—
607C42—151no—
608C42—151no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42—301no—
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3—102no—
615C22×C3—201no—
616C22×C3—201no—
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—52no—
619C2×D3—101no—
620C2×D3—101no—
621C3×C4—22no—
622C3×C4—41no—
623C3×C4—52no—
624C3×C4—101no—
625C3×C4—201no—
626C3×C4C22×C4×D511yescharacteristic
627C3×C4D5×#4111yescharacteristic
628Dic3—21no—
629Dic3—21no—
630Dic3—22no—
631Dic3—41no—
632Dic3—52no—
633Dic3—102no—
634Dic3—201no—
635C2×C5C4×D3×D411yescharacteristic
636C2×C5C2×#91511yescharacteristic
637C2×C5#576811yescharacteristic
638D5—42no—
639D5—62no—
640C23—101no—
641C23—151no—
642Q8—21no—
643Q8—32no—
644Q8—61no—
645Q8—152no—
646Q8—304no—
647Q8—301no—
648Q8C4×D3×D512yes—
649D4—52no—
650D4—101no—
651D4—304no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—51no—
657C2×C4—51no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—101no—
661C2×C4—151no—
662C2×C4—152no—
663C2×C4—152no—
664C2×C4—202no—
665C2×C4—304no—
666C2×C4—302no—
667C2×C4—304no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—601no—
671C2×C4—602no—
672C2×C4—602no—
673C2×C4C22×D3×D511yescharacteristic
674C8—21no—
675C8—32no—
676C8—52no—
677C8—301no—
678C2×C3—202no—
679C2×C3C4×D4×D511yescharacteristic
680C2×C3D5×#13711yescharacteristic
681C2×C3#6611111yescharacteristic
682D3—102no—
683C5C4×#91511yescharacteristic, complemented, Sylow
684C22—102no—
685C22—152no—
686C22—201no—
687C22—201no—
688C22—301no—
689C22—301no—
690C22D3×D4×D511yescharacteristic
691C4—22no—
692C4—41no—
693C4—52no—
694C4—61no—
695C4—61no—
696C4—62no—
697C4—101no—
698C4—121no—
699C4—152no—
700C4—201no—
701C4—302no—
702C4—601no—
703C4C2×C4×D3×D511yescharacteristic
704C4#9202411yescharacteristic
705C3#1061156011yescharacteristic, complemented, Sylow
706C2—202no—
707C2—302no—
708C2#1175320311yescharacteristic
709C2D5×#91511yescharacteristic
710C2#1175410411yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#6766C22
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. Q8×#1200C2semidirect
4. #11750903C2semidirect
5. C5×#4789C2semidirect
6. C3×#65077C2semidirect
7. Dic5×#216C2semidirect
8. #11749234C2semidirect
10. #11747834C2semidirect
11. #11747742C2semidirect
12. #11747592C2semidirect
13. #11747459C2semidirect
14. #11747276C2semidirect
15. #11747268C2semidirect
27. #91522C4semidirect
74. #65077D3semidirect
79. Q8×D15C2×C4semidirect
102. C5×#216C2×C4semidirect
110. C3×#688C2×C4semidirect
127. #6663C2×C4semidirect
128. #6657C2×C4semidirect
129. #6651C2×C4semidirect
140. #4789D5semidirect
301. #688C4×D3semidirect
356. C3×Dic5#137semidirect
389. #216C4×D5semidirect
559. Dic5#915semidirect
613. C3×C5C4×#137semidirect
683. C5C4×#915semidirect
705. C3#10611560semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
Q8×#12002
C2×#915222
#117534002
#117509032
C5×#47892
C3×#650772
Dic5×#2162
#117492342
#117481422
#117478342
#117477422
#117475922
#117474592
#117472762
#117472682
#106115603
C4×#9155